Zapping small filters-Reference-Cited by-同舟云学术

Zapping small filters

Published:1992 Issue:2 Volume:114 Page:535-544
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Laflamme Claude

Abstract

We show two methods for diagonalizing filters of the form F σ {F_\sigma } , first without adding an unbounded real, the other while preserving P P -points; the interest lies in an attempt at destroying maximal almost disjoint families with least damage.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1992-114-02/S0002-9939-1992-1068126-5/S0002-9939-1992-1068126-5.pdf

Reference6 articles.

1. S. Shelah, Vive la différence, no. 326, October 1990.

2. There may be simple 𝑃_{ℵ₁}- and 𝑃_{ℵ₂}-points and the Rudin-Keisler ordering may be downward directed;Blass, Andreas;Ann. Pure Appl. Logic,1987

3. Studies in Logic and the Foundations of Mathematics;Kunen, Kenneth,1980

4. Forcing with filters and complete combinatorics;Laflamme, Claude;Ann. Pure Appl. Logic,1989

5. Compacts de fonctions mesurables et filtres non mesurables;Talagrand, Michel;Studia Math.,1980

Cited by 13 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. KATĚTOV ORDER ON MAD FAMILIES;The Journal of Symbolic Logic;2023-04-24

2. MAD families and strategically bounding forcings;European Journal of Mathematics;2022-01-27

3. The ultrafilter and almost disjointness numbers;Advances in Mathematics;2021-08

4. Indestructibility of ideals and MAD families;Annals of Pure and Applied Logic;2021-05

5. IDEAL INDEPENDENT FAMILIES AND THE ULTRAFILTER NUMBER;The Journal of Symbolic Logic;2021-01-08